a) The average or mean can be determined by summing all the flight delay values and dividing the sum by the total number of flights.
b) The median can be found by arranging the flight delay values in ascending order and selecting the middle value. If there is an even number of values, the median is the average of the two middle values.
c) The mode represents the most frequently occurring flight delay value.
d) The range is calculated by finding the difference between the highest and lowest flight delay values.
The average, mode, median, and range can be calculated for the given flight delay data without tabulating.
Now, let's explain these calculations in detail:
To find the average, add up all the flight delay values: -4 + 0 + 2 + 5 + 10 = 13. Divide this sum by the total number of flights, which is 5. The average flight delay is 13/5 = 2.6 minutes.
To calculate the median, arrange the flight delay values in ascending order: -4, 0, 2, 5, 10. As there are an odd number of values, the median is the middle value, which is 2.
The mode is the value that appears most frequently. In this case, there are no repeated values, so there is no mode.
To find the range, subtract the lowest value from the highest value: 10 - (-4) = 14. Therefore, the range of flight delays is 14 minutes.
In summary:
a) The average flight delay is 2.6 minutes.
b) The median flight delay is 2 minutes.
c) There is no mode.
d) The range of flight delays is 14 minutes.
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